New Haven's AD says the Chargers are actively pursuing making the jump to D1. No specific conference referenced but one would have to think the NEC is a no-brainer. There's an interesting quote from the article that puts the move in terms of financial survival for the university.

In 2029, there is an expected enrollment cliff among colleges; because of the declining U.S. birth rate post-2008 recession, fewer students will be attending institutions of higher education. According to the College and University Professional Association for Human Resources (CUPAHR), northeast universities are expected to lose more than 11% of their overall enrollment. By being a D1 school, the university will attract a greater number of athletes and students.